Consider east as positive x-axis, north as positive y-axis and vertically upward direction as z-axis. A helicopter first rises up to an altitide of `100 m` than flies straight in north `500 m` and then suddenly takes a turn towards east and travels `1000 m` east. What is position vector of helicopter ? (Take starting point as origin)

Options

A. `1000 hat(i)-500 hat(j)+100 hat(k)`
B. `1000 hat(i)+500 hat(j)-100hat(k)`
C. `1000 hat(i)+ 500hat(j)+100 hat(k)`
D. `-1000 hat(i)+500 hat(j)+100 hat(k)`

Answer

C

Explanation

`vec(r )= 1000 hat(i)+ 500 hat(j)+ 100 hat(k)`